How many triangles can be drawn with angles 30, 60, and 90 degrees? Let a, b and c be the sides opposite A, B and C respectively. Then, a²=b²+c² and b=aCos30°=a√2 and c= aSin30°=a/2. Thus
We know that 30-60-90 triangles, their sides are in the ratio of 1 to square root of 3 to 2. So this is 1, this is a 30 degree side, this is going to be square root of 3 times that. And the hypotenuse right over here is going to be 2
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Since it’s a right triangle, the sides touching the right angle are called the legs of the triangle, it has a long leg and a short leg, and the hypotenuse is the side across from the right angle. In this lesson we’ll look at how to solve for the side lengths of a 30-60-90 triangle.
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